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Finding the Fourth Proportional to 209,412.93, 288,988.52 and 113,920.01

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Solution

The fourth proportional to 209,412.93, 288,988.52 and 113,920.01 is: 157,208.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,412.93 : 288,988.52 = 113,920.01 : x
  2. Step 2: Convert to fraction form
    209,412.93/288,988.52 = 113,920.01/x
  3. Step 3: Cross multiply
    209,412.93x = 288,988.52 × 113,920.01
  4. Step 4: Simplify right side
    209,412.93x = 32,921,575,088.29
  5. Step 5: Solve for x
    x = 32,921,575,088.29/209,412.93
  6. Step 6: Final answer
    x = 157,208.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.